In Our Time9 Mar 2006

Negative Numbers

Melvyn Bragg and guests discuss negative numbers, a history of mystery and suspicion. In 1759 the British mathematician Francis Maseres wrote that negative numbers "darken the very whole doctrines of the equations and make dark of the things which are in their nature excessively obvious and simple". Because of their dark and mysterious nature, Maseres concluded that negative numbers did not exist, as did his contemporary, William Friend. However, other mathematicians were braver. They took a leap into the unknown and decided that negative numbers could be used during calculations, as long as they had disappeared upon reaching the solution. The history of negative numbers is one of stops and starts. The trailblazers were the Chinese who by 100 BC were able to solve simultaneous equations involving negative numbers. The Ancient Greeks rejected negative numbers as absurd, by 600 AD, the Indians had written the rules for the multiplication of negative numbers and 400 years later, Arabic mathematicians realised the importance of negative debt. But it wasn't until the Renaissance that European mathematicians finally began to accept and use these perplexing numbers. Why were negative numbers considered with such suspicion? Why were they such an abstract concept? And how did they finally get accepted? With Ian Stewart , Professor of Mathematics at the University of Warwick; Colva Roney-Dougal , Lecturer in Pure Mathematics at the University of St Andrews; Raymond Flood , Lecturer in Computing Studies and Mathematics at Kellogg College, Oxford.

Denne episoden er hentet fra en åpen RSS-feed og er ikke publisert av Podme. Den kan derfor inneholde annonser.

Episoder(1093)

The Garamantes

Misha Glenny and guests discuss an ancient civilisation who lived over 2000 years ago in the southwest of modern-day Libya. During prehistoric times, the Sahara Desert was greener and even had large l...

11 Jun 57min

Joseph Roth

Misha Glenny and guests discuss one of the great writers on Central Europe after the first world war and on the dying of the old orders with the collapse of the Austro-Hungarian empire. As a German s...

4 Jun 55min

Cybernetics

Misha Glenny and guests discuss cybernetics – the field of study which gave us the prefix ‘cyber’ and helped lay the foundations for the information age. After the Second World War, cybernetics emerge...

28 Mai 52min

Indian Indentured Labour

Misha Glenny and guests discuss how, after the abolition of slavery in the British Empire in 1833, sugar planters recruited workers from India to replace or compete with their formerly enslaved labour...

21 Mai 51min

M.C. Escher

Misha Glenny and guests discuss the work of Maurits Cornelis Escher (1898-1972), the graphic artist and printmaker best known for his impossible buildings, paradoxical perspectives, and repeating geom...

14 Mai 55min

Handel's Messiah

Misha Glenny and his guests discuss the most famous oratorio of George Frideric Handel (1685-1759) and his librettist Charles Jennens (1700-1773). For his libretto, Jennens drew from Old and New Test...

7 Mai 54min

The Spanish-American War 1898

Misha Glenny and guests discuss a turning point in world affairs in 1898 that left Spain greatly reduced as an imperial power and the US the owner of the Philippines, Guam and Puerto Rico, with a sign...

30 Apr 55min

Silicon

Misha Glenny and guests discuss the physics, biology and chemistry of the element silicon which is at the heart of some of the most useful and beautiful objects on the planet. While it is still being...

23 Apr 52min